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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 2421yesCoursera

The Syllabus

Videos
  • Promotional Video
  • The Fibonacci Sequence | Lecture 1
  • The Fibonacci Sequence Redux | Lecture 2
  • The Golden Ratio | Lecture 3
  • Fibonacci Numbers and the Golden Ratio | Lecture 4
  • Binet's Formula | Lecture 5
  • Mathematical Induction
Readings
  • Welcome and Course Information
  • Fibonacci Numbers with Negative Indices
  • The Lucas Numbers
  • Neighbour Swapping
  • Some Algebra Practice
  • Linearization of Powers of the Golden Ratio
  • Another Derivation of Binet's formula
  • Binet's Formula for the Lucas Numbers
Practice exercises
  • Diagnostic Quiz
  • The Fibonacci Numbers
  • The Golden Ratio
  • Week 1 Assessment

Videos
  • The Fibonacci Q-matrix | Lecture 6
  • Cassini's Identity | Lecture 7
  • The Fibonacci Bamboozlement | Lecture 8
  • Sum of Fibonacci Numbers | Lecture 9
  • Sum of Fibonacci Numbers Squared | Lecture 10
  • The Golden Rectangle | Lecture 11
  • Spiraling Squares | Lecture 12
  • Matrix Algebra: Addition and Multiplication
  • Matrix Algebra: Determinants
Readings
  • Do You Know Matrices?
  • The Fibonacci Addition Formula
  • The Fibonacci Double Index Formula
  • Do You Know Determinants?
  • Proof of Cassini's Identity
  • Catalan's Identity
  • Sum of Lucas Numbers
  • Sums of Even and Odd Fibonacci Numbers
  • Sum of Lucas Numbers Squared
  • Area of the Spiraling Squares
Practice exercises
  • The Fibonacci Bamboozlement
  • Fibonacci Sums
  • Week 2 Assessment

  • The Golden Spiral | Lecture 13
  • An Inner Golden Rectangle | Lecture 14
  • The Fibonacci Spiral | Lecture 15
  • Fibonacci Numbers in Nature | Lecture 16
  • Continued Fractions | Lecture 17
  • The Golden Angle | Lecture 18
  • A Simple Model for the Growth of a Sunflower | Lecture 19
  • Concluding remarks
  • The Eye of God
  • Area of the Inner Golden Rectangle
  • Continued Fractions for Square Roots
  • Continued Fraction for e
  • The Golden Ratio and the Ratio of Fibonacci Numbers
  • The Golden Angle and the Ratio of Fibonacci Numbers
  • Please Rate this Course
  • Acknowledgments
Practice exercises
  • Spirals
  • Fibonacci Numbers in Nature
  • Week 3 Assessment

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